Induced stress of some graph operations
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Abstract
The induced vertex stress of any vertex of a graph G measures the contribution of that vertex in the total stress
of the graph G. This paper investigates the total vertex stress in some merged graphs, cartesian product graphs
and the join of two graphs. The induced vertex stress of geodetic graphs and its relation with Wiener index and
betweenness centrality is also studied.
Keywords:
vertex stress, induced vertex stressMathematics Subject Classification:
Mathematics- Pages: 259-261
- Date Published: 01-01-2021
- Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)
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Shimbel, Alfonso, Structural parameters of communication networks, The Bulletin of Mathematical Biophysics, $15(4)(1993), 501-507$.
Shiny, J., Kok, J. and Ajitha, V., Total induced vertex stress in barbell-like graph, Communicated.
Shiny, J. and Ajitha, V., Stress regular graphs, Malaya Journal of Matematik, 8(3)(2020) 1152-1154.
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